- #1
BoundByAxioms
- 99
- 0
I'm doing some multi-variable calculus review, and I had a question (my understanding of the class was not as good as I would have liked it to be).
<b> 1. Homework Statement </b>.
Find a plane containing the line r(t) = <6,-6,4> + t<-2,7,-4> and orthogonal to the plane -7x+8y+5z=1.
<b> 2. Homework Equations </b>.
I think I need to use a cross product. I cross <-2,7,-4> and <-7,8,5> to get a vector orthogonal to to the plane (and the line). Then, I use n (dot) (r-r_0), but I keep getting the wrong answer. I fear that my approach is wrong though.
answer is: 635/2
<b> 3. The Attempt at a Solution </b>.
So when I cross <-2,7,-4> and <-7,8,5> I get <67, 38, 33>, and my plane is 67x+38y+33z=46.
Help please.
<b> 1. Homework Statement </b>.
Find a plane containing the line r(t) = <6,-6,4> + t<-2,7,-4> and orthogonal to the plane -7x+8y+5z=1.
<b> 2. Homework Equations </b>.
I think I need to use a cross product. I cross <-2,7,-4> and <-7,8,5> to get a vector orthogonal to to the plane (and the line). Then, I use n (dot) (r-r_0), but I keep getting the wrong answer. I fear that my approach is wrong though.
answer is: 635/2
<b> 3. The Attempt at a Solution </b>.
So when I cross <-2,7,-4> and <-7,8,5> I get <67, 38, 33>, and my plane is 67x+38y+33z=46.
Help please.
Last edited: